All the dishes at this restaurant are delicious without exception.
Except for a few exceptional cases, I haven't actually seen this hospital successfully complete the procedure.
Koichi usually sleeps in, but Friday is an exception because he has to wear a suit.
Something that's outside the example doesn't follow the rules. It's not what it's supposed to be (the example), it is the exception.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.